engineering mathematics MCQ #308

The equation of the normal to the ellipse x² / 4 + y² = 1 at (2cosθ, sinθ) is

engineering mathematics MCQ #308

  1. Question 1

    Q1. The equation of the normal to the ellipse x² / 4 + y² = 1 at (2cosθ, sinθ) is

    • A) 2xsecθ - ycosecθ = 3
    • B) 2xsecθ - ycosecθ = √3
    • C) 2xsecθ - ycosecθ = √5
    • D) None of these

    Answer: 2xsecθ - ycosecθ = 3

    Explanation: Using the equation of the normal to an ellipse: (ax / cosθ) - (by / sinθ) = a² - b², where a = 2 and b = 1.